Interesting recap and I was glad that you mentioned Mixpanel since I didn't think Google Analytics was capable of capture stats like Avg. Searches per User.
Feedback:
* The green on black is very harsh to my eyes. Have you considered alternate color schemes?
* Add social network profile availability to the results. This isn't something that other domain name search services offer, and could attract people wanting to know if their startup name is available on Twitter, Facebook, etc.
* Add search traffic from the Google Adwords API for my favorited search terms.